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Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

Ali H. Al-Khaldi, Mohd. Aquib, Mohd Aslam, Meraj Ali Khan and Antonio Scarfone

Advances in Mathematical Physics, 2021, vol. 2021, 1-10

Abstract: In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space form and a Legendrian submanifold in a generalized Sasakian space form. We also discuss some geometric applications of the obtained results.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:3221643

DOI: 10.1155/2021/3221643

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